Question

How to find cube root by division method?

Answer 1

Let us find cube root of 1331 by division method

Step 1: Start making groups of three digits starting from the unit place.
So, 1,331 -> 1st group is 1, 2nd group is 331
Step 2: Find the largest number whose cube is less than or equal to the first group of digits from left ( ie 1) Take this number as the divisor and the quoient.
Step 3: Subtract the cube of the number from first group or single digit (ie 1-1=0) .
Step 4: Brng down the second group (ie 331) to the right of the remainder this becomes the new dividend (ie 331).
Step 5: From the next possible divisor triple the quotient (ie 1x3=3) and write a box on its right.
Step 6: Guess the largest possible digit to fill box in such a way take the cube of the new divisor take the unit value of cube number in unit digits (ie 1³=1) then the product of this number and previous divisor multiply with the new quotient (ie 1x3=3 then 3x11=33) add the remain digts we loft from cube of new divisor is equal to or less then the new dividend.
Step 7: By subtracting we get the remaindar zero. The final quotient 11 is the cube root
.^.. =11.